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Finding the Third Proportional to 136,304 and 293,344

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Solution

The third proportional to 136,304 and 293,344 is: 631,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,304 : 293,344 = 293,344 : x
  2. Step 2: Convert to fraction form
    136,304/293,344 = 293,344/x
  3. Step 3: Cross multiply
    136,304x = 293,344 × 293,344
  4. Step 4: Simplify right side
    136,304x = 86,050,702,336
  5. Step 5: Solve for x
    x = 86,050,702,336/136,304
  6. Step 6: Final answer
    x = 631,314.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.